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103131022001 = 727059544477
BaseRepresentation
bin110000000001100010…
…1101000001010110001
3100212012101012201222112
41200003011220022301
53142203020201001
6115213331415105
710310453136350
oct1400305501261
9325171181875
10103131022001
113a812856297
1217ba2454495
1399573a9997
144dc4c11997
152a3905ecbb
hex18031682b1

103131022001 has 8 divisors (see below), whose sum is σ = 117868597440. Its totient is φ = 88394589648.

The previous prime is 103131021947. The next prime is 103131022037. The reversal of 103131022001 is 100220131301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103131022001 - 218 = 103130759857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103131028001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82826 + ... + 461651.

It is an arithmetic number, because the mean of its divisors is an integer number (14733574680).

Almost surely, 2103131022001 is an apocalyptic number.

It is an amenable number.

103131022001 is a deficient number, since it is larger than the sum of its proper divisors (14737575439).

103131022001 is an equidigital number, since it uses as much as digits as its factorization.

103131022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571543.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103131022001 its reverse (100220131301), we get a palindrome (203351153302).

The spelling of 103131022001 in words is "one hundred three billion, one hundred thirty-one million, twenty-two thousand, one".

Divisors: 1 7 27059 189413 544477 3811339 14733003143 103131022001